"A certain population has a mean of 544 and a standard deviation of 39. Many samples of size 55 are randomly selected and the means calculated.

"A certain population has a mean of 544 and a standard deviation of 39. Many samples of size 55 are randomly selected and the means calculated. (a) What value would you expect to find for the mean of all these sample means? (b) What value would you expect to find for the standard deviation of all these sample means? (c) What shape would you expect the distribution of all these sample means to have?"